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Finding the Fourth Proportional to 667.14, 920.80 and 433.86

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Solution

The fourth proportional to 667.14, 920.80 and 433.86 is: 598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 920.80 = 433.86 : x
  2. Step 2: Convert to fraction form
    667.14/920.80 = 433.86/x
  3. Step 3: Cross multiply
    667.14x = 920.80 × 433.86
  4. Step 4: Simplify right side
    667.14x = 399,498.29
  5. Step 5: Solve for x
    x = 399,498.29/667.14
  6. Step 6: Final answer
    x = 598.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.